Ticket Slope Intercept: Fill & Download for Free

In algebra there are different forms for a linear equation, these different forms have advantages and disadvantages. In the US traditionally the 3 main forms are:Standard form: Ax + By = C This is what 3x + 4y = 12 is. The advantage with standard form is that it is usually equivalent to how a “story problem” is written out. Three children’s tickets plus 4 adults’ tickets cost a total of 12 dollars, can be easily converted to the math equation 3x +4y = 12. Disadvantage, not as easy to graph on the coordinate plane, you must perform some math to find the slope and the y-intercept.Slope-Intercept form: y = mx + c Advantage, very easy to graph, start on the y-axis at the value of “c” then use the slope, rise over run to create additional points, connect the points to draw a line. Advantage, relatively easy to calculate the y value given an x value. Disadvantage, generally not so obvious from the context of a “story problem”.Point slope form: (Y - y1) = m(X - x1) Advantage easy to write when you know the slope and two points, when neither of the known points are on y-axis. Or if you know two points, you can use the slope formula: (y2 - y1)/(x2 - x1) and then either of the two points you know. Disadvantage, generally not so obvious from a “story problem”.So your task is to convert from standard form to slope intercept form. to accomplish this task you must isolate the variable y.3x + 4y = 12 Start by subtracting 3x on both sides4y = -3x + 12 Divide everything by 4y = -3/4 x + 3. It is now easy to graph. Start on the y-axis at +3, then go down three and to the right four for the next point, repeat as needed. Or start at +3 and then go up 3 and to the left four, and repeat.

I can’t make any sense out of this question.Breakeven calculation is the archetypical example of an algebraic function: y=mx+bIn algebraic terms, m is the slope and b is the y-intercept. The slope is simply the profit per unit sold (“contribution”), which is the selling price minus the unit cost (or variable cost/unit).The y-intercept is the cost before a single unit is produced, or what in business is called the fixed cost or set-up cost.So for example, if I am putting on a show, and I rent the theater for so much and pay all the performers so much, that would be the total set-up cost, B. Note that this is a negative number.Since there is no unit cost for people filling the seats, my ticket price = M, or the contribution per ticket.So, my profit Y would be the M times # tickets sold, which is X, minus the setup cost B.If you restate your question using that logic, the calculation is strsightforward. However, I cannot make sense out of the numbers as stated in the question.

The question tells you that every $.10 increase in price causes 2 fewer people to attend. It let’s us know that there is a linear demand curve. The form is Q = a - b*P.Q is the number of people, P is the Price. a is the intercept of the equation and b is the slope of the equation. In order to solve, you’ll need to know the slope and intercept. The slope is easiest to figure out because the question tells you that Q drops by 2 for every 10 cents that means it drops by 20 for every dollar. (There are 10 groups of 10 cents in every dollar. So,Q = a - 20P.In order to solve we have to determine the value of a. That’s not too hard. We were given that when P = 2 that Q = 150. Just insert those values into the equation, It tells us that150 = a - 20*2 or a = 150+40 = 190. You now knowQ=190–20P.Total Revenue (“TR”) is Price * Quantity. or P*Q and Q is given by the equation listed above. That meansTR = P*(190–20P).I suspect this is a homework problem so I am not going to provide any calculations beyond this point. To solve this, you can use calculus and find the derivative of TR with respect to P that maximizes the equation.If you do not know calculus, you can plug and chug numbers until you narrow it down. One hint is that the revenue maximizing price is not a multiple of a $0.10 interval.Good Luck.